Chevalley-Warning Theorem
Let be the finite field of elements with
characteristic
. Let , ,
be polynomial
of variables over . If , then the number of solutions over
to the system of equations
is divisible by . In particular, if none of the polynomials , have constant term, then there are at least solutions.
Title | Chevalley-Warning Theorem |
---|---|
Canonical name | ChevalleyWarningTheorem |
Date of creation | 2013-03-22 17:46:52 |
Last modified on | 2013-03-22 17:46:52 |
Owner | kshum (5987) |
Last modified by | kshum (5987) |
Numerical id | 6 |
Author | kshum (5987) |
Entry type | Theorem |
Classification | msc 12E20 |